A fitted bottom sheet (which may be comprised of low-friction material if desired) can include at least one tube-receiving hole formed therethrough. By one approach the corners of the fitted bottom sheet can include a strap to help retain the fitted bottom sheet on a mattress. By one approach the aforementioned tube-receiving hole can be formed at each corner of the fitted bottom sheet. A strapless repositioning sheet can have a low-friction mattress-facing side in combination with webbing disposed along and attached to at least two side edges of the strapless repositioning sheet to thereby form a plurality of handhold openings and a plurality of strap-connection openings.